Paper 1 · Mathematical Reasoning and Aptitude
UGC NET December 2021 June 2022 (22.09.2022) Shift-I
Find the missing term in the series: 2, 5, 9, 19, 37, ?
A74
B75 ✓ Correct
C51
D61
Correct answer: (B) 75 — The answer is 75.
Explanation
★The answer is 75.
★The series alternates two rules, doubling and adding one, then doubling and subtracting one.
★From 2, doubling and adding one gives 5, and from 5, doubling and subtracting one gives 9.
★Continuing, 9 gives 19 and 19 gives 37.
★The next step doubles 37 and adds one.
★That gives 75.
★So the answer is 75.
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